Find the derivative of the function. h(x) = 15x14 + 5x? – 2xª + 18x – 6 Step 1 We want to find the derivative of h(x) = 15x14 + 5x7 - 2x* + 18x – 6. Using the Powers of x Rule, the Constant Function Rule, and the Coefficient Rule we have h'(x) = 15 · 14x13 + 5 · 7 v x6 - 2. 4 v x3 + 18 · 1x Enter an exact number. 18 Submit Skip (you cannot come back)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Find the derivative of the function.
h(x) = 15x14 + 5x7 - 2x* + 18x – 6
Step 1
We want to find the derivative of h(x) = 15x14 + 5x7 – 2x4 + 18x
6. Using the Powers of x Rule, the
Constant Function Rule, and the Coefficient Rule we have
h'(x) = 15 · 14x13 + 5 ·
7
2:14
x3
+ 18 · 1x
Enter an exact number.
18
Submit
Skip (you cannot come back)
Transcribed Image Text:Find the derivative of the function. h(x) = 15x14 + 5x7 - 2x* + 18x – 6 Step 1 We want to find the derivative of h(x) = 15x14 + 5x7 – 2x4 + 18x 6. Using the Powers of x Rule, the Constant Function Rule, and the Coefficient Rule we have h'(x) = 15 · 14x13 + 5 · 7 2:14 x3 + 18 · 1x Enter an exact number. 18 Submit Skip (you cannot come back)
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